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Finding the Third Proportional to 215,299 and 463,502

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Solution

The third proportional to 215,299 and 463,502 is: 997,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,299 : 463,502 = 463,502 : x
  2. Step 2: Convert to fraction form
    215,299/463,502 = 463,502/x
  3. Step 3: Cross multiply
    215,299x = 463,502 × 463,502
  4. Step 4: Simplify right side
    215,299x = 214,834,104,004
  5. Step 5: Solve for x
    x = 214,834,104,004/215,299
  6. Step 6: Final answer
    x = 997,840.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.